105133563 has 12 divisors (see below), whose sum is σ = 152123400. Its totient is φ = 69967296.

The previous prime is 105133543. The next prime is 105133579. The reversal of 105133563 is 365331501.

It is not a de Polignac number, because 105133563 - 2⁶ = 105133499 is a prime.

It is a super-2 number, since 2×105133563² = 22106132138149938, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105133513) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4513 + ... + 15186.

It is an arithmetic number, because the mean of its divisors is an integer number (12676950).

Almost surely, 2^105133563 is an apocalyptic number.

105133563 is a deficient number, since it is larger than the sum of its proper divisors (46989837).

105133563 is a wasteful number, since it uses less digits than its factorization.

105133563 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20298 (or 20295 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 27.

The square root of 105133563 is about 10253.4659018305. The cubic root of 105133563 is about 471.9693479927.

The spelling of 105133563 in words is "one hundred five million, one hundred thirty-three thousand, five hundred sixty-three".